 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| Samia M. Said, Elsayed M. Abd-Elaziz, and Mohamed I. A. Othman, "Effect of Internal Heat Source on a Nonlocal Thermoelastic Rotating Medium in the Context of a Dual-Phase-Lag Model with Fractional Derivative," Mech. Solids. 59 (3), 1341-1357 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
3 |
Pages |
1341-1357 |
| DOI |
10.1134/S002565442360277X |
| Title |
Effect of Internal Heat Source on a Nonlocal Thermoelastic Rotating Medium in the Context of a Dual-Phase-Lag Model with Fractional Derivative |
| Author(s) |
Samia M. Said (Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, 44519 Egypt, samia_said59@yahoo.com)
Elsayed M. Abd-Elaziz (Department of Basic Sciences, Higher Institute of Engineering and Technology, Zagazig, Egypt, sayed_nr@yahoo.com)
Mohamed I. A. Othman (Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, 44519 Egypt, m_i_a_othman@yahoo.com) |
| Abstract |
A new model of a rotating nonlocal thermoelastic medium is formulated based on the dual-phase-lag model with fractional derivative heat transfer. Using suitable non-dimensional variables, the
problem is solved using Fourier series and Laplace transforms to obtain the exact expressions of physical fields. The distributions of the nondimensional temperature, displacements, and stresses are
obtained and illustrated graphically. The effects of the rotation, the nonlocal parameter, the internal
heat source, and the fractional-order parameter, on the considered variables are concerned and discussed in detail, and the results show that they significantly influence the variations of the considered
variables. |
| Keywords |
dual-phase lag model, internal heat source, fractional derivative, nonlocal parameter, rotation |
| Received |
27 December 2023 | Revised |
16 March 2024 | Accepted |
17 March 2024 |
| Link to Fulltext |
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